Answer:
2x^2 + 7x - 15 = 0
Factors: (2x - 3)(x + 5)
Step-by-step explanation:
To write the equation in standard form rearrange to this form ax^2 + bx + c = 0. Rearrange the equation 2x^2 + 7x = 15 by subtracting 15 from both sides.
2x^2 + 7x - 15 = 0
The left side factors into (2x - 3)(x + 5) since it multiplies to 2x^2 - 3x + 10x - 15 = 2x^2 + 7x - 15.
Answer:
Answer 44
Step-by-step explanation:
I'll do some of it. You can supply some of the vocabulary.
<Q = 56 degrees The triangle is isosceles.
<PRQ = 180 - 56 - 56 All triangles have 180 degrees.
<PRQ = 68 Do the subtraction
<PRQ = <SRT Why is this so? You have the term.
<TRS = 68 degrees The reason is the same as the last part.
<T = <RST The triangle is isosceles (2 equal angles)
<T = 68 Two equal angles = the same degrees
S = 180 - <T - < RST S is the left over from the 2 equal angles.
S = 180 - 68 + 68 Substitute.
S = 44
Answer:
Let the current speed be "c";
Then the boat speed in still wate is "5c":
-----------------------
Upstream speed:
distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs
---------------------------
Downstream speed:
distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs
Step-by-step explanation:
Equation:
time + time = 2 1/2 hrs
3/c + 2/c = 5/2
Multiply thru by 2c to get:
6 + 4 = 5c
c = 2 mph (speed of the current)
5c = 10 mph (speed of the boat in still water)
Part A:
Given that <span>Starlight tree farms sells Douglas Firs and Noble First.
Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.
Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377
Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.
Part B:
</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.
Subtracting 275 from both sides of the equation gives:
</span>

<span>
Dividing both sides by 55 gives:
</span>

<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>
Answer: 
Step-by-step explanation:
To solve this exercise you need to remember the following:
→ 
Therefore, keeping the above on mind, you can solve for x as following:


Remember that, by definition:
, then you have:

Subtract 6 from both sides of the equation.
Then the value of x is:
